Number bases

There are 25 NRICH Mathematical resources connected to Number bases
Phew I'm Factored
problem

Phew i'm factored

Age
14 to 16
Challenge level
filled star filled star filled star
Explore the factors of the numbers which are written as 10101 in different number bases. Prove that the numbers 10201, 11011 and 10101 are composite in any base.
Learn About Number Bases
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Learn about number bases

We are used to writing numbers in base ten, using 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Eg. 75 means 7 tens and five units. This article explains how numbers can be written in any number base.
The Knapsack Problem and Public Key Cryptography
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The knapsack problem and public key cryptography

An example of a simple Public Key code, called the Knapsack Code is described in this article, alongside some information on its origins. A knowledge of modular arithmetic is useful.
A Story About Absolutely Nothing
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A story about absolutely nothing

This article for the young and old talks about the origins of our number system and the important role zero has to play in it.